Greedy Randomized Adaptive Search Procedures with Path Relinking. An analytical review of designs and implementations

IF 6 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE European Journal of Operational Research Pub Date : 2025-02-28 DOI:10.1016/j.ejor.2025.02.022
Manuel Laguna, Rafael Martí, Anna Martínez-Gavara, Sergio Pérez-Peló, Mauricio G.C. Resende
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Abstract

This is a comprehensive review of the Greedy Randomized Adaptive Search Procedure (GRASP) metaheuristic and its hybridization with Path Relinking (PR). GRASP with PR has become a widely adopted approach for solving hard optimization problems since its proposal in 1999. The paper covers the historical development of GRASP with PR and its theoretical foundations, as well as recent advances in its implementation and application. The review includes a careful analysis of PR variants, paying special attention to memory-based and randomized designs, with a total of ten different implementations. It identifies the design questions that are still open in the scientific literature. The experimental section applies advanced PR implementations on two well-known combinatorial optimization problems, linear ordering and max-cut, in an effort to answer these open questions. The paper also explores the hybridization of PR and other metaheuristics, such as tabu search, scatter search, and random-keys genetic algorithms. Overall, this review provides valuable insights for researchers and practitioners seeking to implement GRASP with PR for solving optimization problems.
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本文全面回顾了贪婪随机化自适应搜索程序(GRASP)元启发式及其与路径重联(PR)的混合。自 1999 年提出以来,带有 PR 的 GRASP 已成为解决困难优化问题的一种广泛采用的方法。本文介绍了带有 PR 的 GRASP 的历史发展及其理论基础,以及其实施和应用方面的最新进展。回顾包括对 PR 变体的仔细分析,特别关注基于内存的设计和随机设计,共有十种不同的实现方法。它指出了科学文献中仍未解决的设计问题。实验部分将先进的 PR 实现应用于两个著名的组合优化问题,即线性排序和最大切割,以努力回答这些开放性问题。本文还探讨了 PR 与其他元启发式算法(如 tabu 搜索、分散搜索和随机键遗传算法)的混合。总之,本综述为研究人员和从业人员提供了宝贵的见解,帮助他们利用 PR 实施 GRASP 来解决优化问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
European Journal of Operational Research
European Journal of Operational Research 管理科学-运筹学与管理科学
CiteScore
11.90
自引率
9.40%
发文量
786
审稿时长
8.2 months
期刊介绍: The European Journal of Operational Research (EJOR) publishes high quality, original papers that contribute to the methodology of operational research (OR) and to the practice of decision making.
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Editorial Board The three-way decision model and multi-attribute decision-making: Methodological traps and challenges [formula omitted]-Tree: Crossing sharp boundaries in regression trees to find neighbors Editorial Board Greedy Randomized Adaptive Search Procedures with Path Relinking. An analytical review of designs and implementations
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